Q. Assertion (A): When a function f(t) is represented as exponential Fourier series, the set of complex coefficients Fn is called frequency spectrum of f(t)

Reason (R): Frequency spectrum is also called line spectrum.

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Q. The area of an impulse is

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Q. e^(-3t) is a

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Q. If F(jω) is the Fourier transform of f(t), then

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Q. Assertion (A): Heaviside partial expansion gives a simple procedure to find inverse Laplace transform of the terms having a complex conjugate pair of roots.

Reason (R): If I(s) = P(s)/Q(s) and all roots of Q(s) = 0 are simple, i(t) will have terms with exponentials having real exponents only.

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Q. An impulse train is

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Q. For formation of state equations, the inductors and current sources

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Q. If f(t) = 1, F(jω) =

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Q. The power in the signal s(t) = 8 cos (20 π - π/2) + 4 sin (15 πt) is

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Q. If f(t) ↔ F(jω), f(- t) ↔

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Q. Assertion (A): Transient analysis uses Laplace transformation.

Reason (R): Laplace transform method is suitable for solution of integro differential equations.

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Q. The minor Mij of an n x n matrix is the determinant of (n - 1) x (n - 1) matrix formed by deleting the ith row and j the column of n x n matrix.

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Q. If f(t) and F(jω) form a transform pair, then as per symmetry in Fourier transforms

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Q. The theoretical power of white noise is

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Q. To plot frequency spectrum we draw two graphs viz |Fn| versus frequency and φn versus frequency.

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Q. If f(t) is an even function, the coefficients Fn in the exponential form of Fourier series

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Q. Assertion (A): If Reason (R): Displacement in time domain by T becomes multiplication by e-st in s domain.

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